Nondensely defined partial neutral functional integrodifferential equations with Infinite delay under the light of integrated resolvent operators

• Autorzy: Matloub Jaouad , Ezzinbi Khalil

Identyfikatory

DOI

10.1515/jaa-2023-0051

• Języki publikacji: EN

Abstrakty

EN

In this work, we mainly focus on the local existence and regularity of integral solutions for a class of nondensely defined partial neutral functional integrodifferential equations with unbounded delay. We use the theory of integrated resolvent operators introduced by Oka [H. Oka, Integrated resolvent operators, J. Integral Equations Appl. 7 (1995), no. 2, 193-232]. Finally, we provide an example to demonstrate the basic findings of our work.

Słowa kluczowe

EN

integral solution; strict solution; functional integrodifferential equations; neutral equations; integrated resolvent operator; infinite delay

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2024
• Tom: Vol. 30, nr 1
• Strony: 17--34
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Matloub Jaouad

• Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, B.P. 2390 Marrakech, Morocco

autor

Ezzinbi Khalil

• Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, B.P. 2390 Marrakech, Morocco

Bibliografia

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• [5] W. Desch, R. Grimmer and W. Schappacher, Well-posedness and wave propagation for a class of integrodifferential equations in Banach space, J. Differential Equations 74 (1988), no. 2, 391-411.
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• [7] J. K. Hale, Functional differential equations with infinite delays, J. Math. Anal. Appl. 48 (1974), 276-283.
• [8] E. Hernández, Existence results for partial neutral functional integrodifferential equations with unbounded delay, J. Math. Anal. Appl. 292 (2004), no. 1, 194-210.
• [9] Y. Hino, S. Murakami and T. Naito, Functional-Differential Equations with Infinite Delay, Lecture Notes in Math. 1473, Springer, Berlin, 2006.
• [10] T. Naito, On autonomous linear functional differential equations with infinite retardations, J. Differential Equations 21 (1976), no. 2, 297-315.
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• [12] H. Oka, Integrated resolvent operators, J. Integral Equations Appl. 7 (1995), no. 2, 193-232.
• [13] K. Schumacher, Existence and continuous dependence for functional-differential equations with unbounded delay, Arch. Ration. Mech. Anal. 67 (1978), no. 4, 315-335.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).